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andriy [413]
2 years ago
13

Find the equation, in vertex form, for a parabola with a vertex of (2,-5) that goes through the point (3,4).

Mathematics
1 answer:
FromTheMoon [43]2 years ago
7 0
Y=9(x−2)²<span>−5 is the solution
</span>
Explanation in full below

Using the vertex co-ordinates we can deduct the formula
y=a(x-2)²-5 

using the co-ordinate (3,4), use x=3, y=4 to find a

y=a(x-2)²-5 
4=a(3-2)² -5
4=a(1)²-5
4=a-5
a=9

Subsituting a into the first equation
y=a(x-2)²-5 
y=9(x-2)²-5 

The solution is y=9(x-2)²-5 
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Need help on all these questions!!
Yuki888 [10]

Okay, so YZ = 3 cm.  You have XM correct. And YM = 0.5.

Now, you have the midpoint M at the correct spot.

Use Pythagorean's theorem o find the length of AB.  a² + b² = c²   a=6,  b=8.

6² = 36   8² = 64    36 + 64 = 100      AB = 10!

If AB = 10   then AM = 5    MB also = 5

If B is the midpoint of AC,  C would be 12 rows down from A, and 16 columns to the right. The last spot where the line intersects.

There are your answers!

5 0
2 years ago
One solution to the problem below is 4.<br> What is the other solution?<br> y² - 16 = 0
ratelena [41]

Answer:

The 2 answers are 4 and -4

Step-by-step explanation:

8 0
2 years ago
HELP ME! FAST! Please help me! ASAP! PLEASE! SOMEONE HELP ME!
Harrizon [31]
I hope this helps you

5 0
2 years ago
the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the Numb
faust18 [17]
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
7x = 63

To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.

4 0
3 years ago
Read 2 more answers
Help Asap if i can i will give brainliest
Aleonysh [2.5K]

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

6 0
3 years ago
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